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Mathematics of Computation

Published by the American Mathematical Society since 1960 (published as Mathematical Tables and other Aids to Computation 1943-1959), Mathematics of Computation is devoted to research articles of the highest quality in computational mathematics.

ISSN 1088-6842 (online) ISSN 0025-5718 (print)

The 2020 MCQ for Mathematics of Computation is 1.78.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

A search for elliptic curves with large rank
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by David E. Penney and Carl Pomerance PDF
Math. Comp. 28 (1974), 851-853 Request permission

Abstract:

A search procedure is described for finding elliptic curves with rational coefficients for which the group of rational points has large rank. Specific examples are given of elliptic curves with rank $\geqq 6$.
References
  • André Néron, Problèmes arithmétiques et géométriques rattachés à la notion de rang d’une courbe algébrique dans un corps, Bull. Soc. Math. France 80 (1952), 101–166 (French). MR 56951
    • J. Tate, Rational Points on Elliptic Curves, Philips Lectures, Haverford College, 1961.
  • A. Wiman, Über rationale Punkte auf Kurven dritter Ordnung vom Geschlechte Eins, Acta Math. 80 (1948), 223–257 (German). MR 28603, DOI 10.1007/BF02393650
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Additional Information
  • © Copyright 1974 American Mathematical Society
  • Journal: Math. Comp. 28 (1974), 851-853
  • MSC: Primary 14G25; Secondary 10B10, 14G05
  • DOI: https://doi.org/10.1090/S0025-5718-1974-0376686-X
  • MathSciNet review: 0376686